212954320107 has 128 divisors (see below), whose sum is σ = 343283466240. Its totient is φ = 130336970400.

The previous prime is 212954320097. The next prime is 212954320123. The reversal of 212954320107 is 701023459212.

212954320107 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 543 + 2 + 0 + 107 = 666.

It is not a de Polignac number, because 212954320107 - 2¹⁶ = 212954254571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212954320207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1625605432 + ... + 1625605562.

It is an arithmetic number, because the mean of its divisors is an integer number (2681902080).

Almost surely, 2^212954320107 is an apocalyptic number.

212954320107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

212954320107 is a deficient number, since it is larger than the sum of its proper divisors (130329146133).

212954320107 is an equidigital number, since it uses as much as digits as its factorization.

212954320107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 212954320107 its reverse (701023459212), we get a palindrome (913977779319).

The spelling of 212954320107 in words is "two hundred twelve billion, nine hundred fifty-four million, three hundred twenty thousand, one hundred seven".